A Flexible Divergence Elimination Method for Calculating Lepton Magnetic Moments in Quantum Electrodynamics

Quantum electrodynamics calculation of lepton anomalous magnetic moments: Numerical approach to the perturbation theory of QED

Lepton anomalous magnetic moments – a theory update

Standard Model contributions to the electron, muon, and tau lepton anomalous magnetic moments, al = (gl−2)/2, are reviewed and updated. The fine structure constant is obtained from the electron ge−2 and used to refine the QED contribution to the muon gμ − 2. Recent advances in electroweak and hadronic effects on gμ − 2 are summarized. Examples of “New Physics” probed by the aμ Brookhaven experi...

Magnetic Catalysis in Quantum Electrodynamics

We derive the (Wilsonian) low energy effective Lagrangian for Quantum Electrodynamics under external constant magnetic field by integrating out all electrons except those in the lowest Landau level. We find the one-loop effective Lagrangian contains a marginal four-Fermi interaction with anomalous dimension, (ln 2) 2 2π e 4. Renormalization group analysis shows that the four-Fermi interaction w...

Quantum Electrodynamics in a Uniform Magnetic Field

A systematic formalism for quantum electrodynamics in a classical uniform magnetic field is discussed. The first order radiative correction to the ground state energy of an electron is calculated. This then leads to the anomalous magnetic moment of an electron without divergent integrals. Thorough analyses of this problem are given for the weak magnetic field limit. A new expression for the rad...

A Combinatorial Method for Calculating the Moments of Lévy Area

We present a new way to compute the moments of the Lévy area of a two-dimensional Brownian motion. Our approach uses iterated integrals and combinatorial arguments involving the shuffle product.